Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1162.70014
Ding, Yanheng; Lee, Cheng
Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system.
(English)
[J] J. Differ. Equations 246, No. 7, 2829-2848 (2009). ISSN 0022-0396

Summary: This paper deals with existence and exponential decay of homoclinic orbits for the first-order Hamiltonian system $\dot z = \cal J H_z(t, z),$ where the Hamiltonian function $H(t,z)$ is nonperiodic in $t \in \Bbb R$ and superquadratic in $z \in \Bbb R^{2N}$. With certain mild conditions, we obtain the solutions via variational methods for strongly indefinite problems.
MSC 2000:
*70H05 Hamilton's equations
70K44 Homoclinic and heteroclinic trajectories
70G75 Variational methods

Keywords: critical point; mild conditions; variational methods

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences